Differential and integral equations associated with some hybrid families of Legendre polynomials
M. Riyasat, S. A. Wani and S. Khan
The article aims to explore some new classes of differential and integral equations for some hybrid families
of Legendre polynomials. Beginning with the recurrence relations and shift operators, the authors derived the
differential, integro-differential and partial differential equations for the hybrid Legendre-Appell polynomials.
Certain examples are framed for the hybrid Legendre-Bernoulli, Legendre-Euler and Legendre-Genocchi polynomials
to show the applications of main results. Further, the homogeneous Volterra integral equations for the hybrid
Legendre-Appell and other hybrid families of special polynomials are derived. The inclusion of integral equations
is a bonus to this article.
Tbilisi Mathematical Journal, Vol. 11(1) (2018), pp. 127-139
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